Nathan Perlmutter

activity

20152022

most citedParametrized Morse Theory and Positive Scalar Curvature

2 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AT2015

Homological Stability for Diffeomorphism Groups of High Dimensional Handlebodies

Nathan Perlmutter

In this paper we prove a homological stability theorem for the diffeomorphism groups of high dimensional manifolds with boundary, with respect to forming the boundary connected sum…

math.AT2015

Stable Moduli Spaces of High Dimensional Handlebodies

Boris Botvinnik, Nathan Perlmutter

We study the moduli space of handlebodies diffeomorphic to $(D^{n + 1} \times S^{n})^{♮ g}$ , i.e. the classifying space $B D i f f ((D^{n + 1} \times S^{n})^{♮ g}, D^{2 n})$ of the…